Abstract:We demonstrate theoretically that it is possible to use Rabi oscillations to
coherently control the electron tunneling in an asymmetric double quantum dot
system, a quantum dot molecule. By applying an optical pump pulse we can excite
an electron in one of the dots, which can in turn tunnel to the second dot, as
controlled by an external voltage. Varying the intensity of the pulse one can
suppress or enhance the tunneling between the dots for given level resonance
conditions. This approach allows substantial f… Show more
“…Another experimental possibility of choosing a control parameter would be the frequency mismatch between the injected field and the |0 →|1 transition, δ, while ω 12 is kept fixed. However, as detailed in [17], a better electron transfer between the levels is obtained when the levels are off-resonance, thus making the idea of a fixed ω 12 with a varying input pulse frequency less effective for observing clear results in practice. The linear stability of the homogeneous stationary solution is analyzed by studying the response of the system to small fluctuations around the steady state.…”
Section: The Modelmentioning
confidence: 99%
“…2(a), where vanishing absorption is identified at δ = 0.37. Details of such calculations for a variety of QDMs can be found in [17][18][19].…”
Section: The Modelmentioning
confidence: 99%
“…ω 12 is the frequency difference between level |1 and level |2 and ω 23 is that between |2 and |3 . Both of the level separations are managed by electric gates which give control over the occupation of levels |2 and |3 [17]. We have also assumed the value of 1 for the relaxation rate γ 01 and 10 −3 γ 01 for all others.…”
“…Another experimental possibility of choosing a control parameter would be the frequency mismatch between the injected field and the |0 →|1 transition, δ, while ω 12 is kept fixed. However, as detailed in [17], a better electron transfer between the levels is obtained when the levels are off-resonance, thus making the idea of a fixed ω 12 with a varying input pulse frequency less effective for observing clear results in practice. The linear stability of the homogeneous stationary solution is analyzed by studying the response of the system to small fluctuations around the steady state.…”
Section: The Modelmentioning
confidence: 99%
“…2(a), where vanishing absorption is identified at δ = 0.37. Details of such calculations for a variety of QDMs can be found in [17][18][19].…”
Section: The Modelmentioning
confidence: 99%
“…ω 12 is the frequency difference between level |1 and level |2 and ω 23 is that between |2 and |3 . Both of the level separations are managed by electric gates which give control over the occupation of levels |2 and |3 [17]. We have also assumed the value of 1 for the relaxation rate γ 01 and 10 −3 γ 01 for all others.…”
“…The short time scale of the effect indicates the influence of the higher excitonic states. In a simple approach it has been shown that the damping of the oscillations as the intensity of the short pulse is increased, is due to the off-resonant leakage into biexcitonic levels [28,29]. Taking Ref.…”
The environmental decoherence in multilevelled systems in the context of two-level approximation is examined. It is found that the environmental temperature plays a minor role in the magnitudes of the decoherence rates whereas, the system-environment coupling and the environmental energy spectrum are dominant. Particularly, the latter is important in zero temperature quantum fluctuations and/or the nonequilibrium noise sources due to the large range of energies present in the environmental modes. Decoherence is found to be dominated by the short time nonresonant processes and this observation severely questions the use of the two-levelled models on decoherence. r
“…Up to now, such system has been studied extensively. Under the influence of an external oscillatory (optical pulse or voltage) driving field, one electron can be excited from the valence to the conduction band in one dot, which can in turn tunnel to the second dot [2] [3]. Recent progress in semiconductor nanotechnology indicate that these features have advantages for the application in many quantum devices, such as QD lasers [4][5], QD diodes [6] as well as quantum computing processes [7][8].…”
The quantum oscillations of population in an asymmetric double quantum dots system coupled to a phonon bath are investigated theoretically. It is shown how the environmental temperature has effect on the system. PACS numbers: 68.65.HbThe asymmetric double semiconductor quantum dots system (DQD) is referred as quantum dot molecule due to its similar properties to natural molecule. By using self-assembled dot growth technology [1] we can fabricate these molecule -like dots, in which the confined electrons can transfer between each quantum dot through tunneling effect. Up to now, such system has been studied extensively. Under the influence of an external oscillatory (optical pulse or voltage) driving field, one electron can be excited from the valence to the conduction band in one dot, which can in turn tunnel to the second dot[2] [3]. Recent progress in semiconductor nanotechnology indicate that these features have advantages for the application in many quantum devices, such as QD lasers [4][5], QD diodes[6] as well as quantum computing processes [7][8]. However, QDs are embedded in the surrounding solid matrix, thus the effect of electron-phonon interaction during the tunneling is not negligible [9]. Therefore, the environmental temperature will have significant influence on the desired QD devices. In this letter, we analyze how the optically driven asymmetrical DQD device depends on the environmental temperature.The asymmetrical DQD consists of two dots (the left and the right one) with different geometries and has the ground state |0 ( the system without excitation), first excited state |1 ( a pair of electron and hole bound in the left dot) and second excited state |2 (one hole in the left dot and one electron in the right dot). Any other states are effectively decoupled from these three states because the valence band levels of two dots become far off-resonance and the hole cannot tunnel to the right dot consequently. Such model can be shown in Fig.??. Considering that the single electron is unavoidably scattered by phonons while tunneling between two dots, the Hamiltonian is given bywhere ε j is the energy of state|j , T c is the electron-tunneling matrix element, ω c is the frequency of the applied field, Ω(t) = 0|µE(t)|1 , where µis the electric dipole moment, describes the coupling to the radiation field of the excitonic transition, E(t) is the optical pulse amplitude. b + k (b k ) and ω k are the creation (annihilation) operator and energy for kth phonon mode, respectively, g k is the coupling constant determined by the crystal material.
FIG. 1:Level configuration of a double QD system. A pulsed laser excites one electron from the valence band that can tunnel to other dot with the application of the voltage. We assume that the hole cannot tunnel in the time scale we are considering here.
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